TS EAMCET · Maths · Probability
The probability distribution of a random variable \(X\) is given by
| X = x | 0 | 1 | 2 | 3 | 4 |
| P(X = x) | 0.4 | 0.3 | 0.1 | 0.1 | 0.1 |
- A \(1.76\)
- B \(2.45\)
- C \(3.2\)
- D \(4.8\)
Answer & Solution
Correct Answer
(A) \(1.76\)
Step-by-step Solution
Detailed explanation
Given, \(\begin{aligned} \text { Mean } \bar{x} & =\sum_{i=0}^4 p_i x_i=1.2 \\ \text { Variance } & =\sum_{i=0}^4 p_i x_i^2-\bar{x}^2 \\ & =3.20-1.44=1.76\end{aligned}\)
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